[vc_empty_space][vc_empty_space]
H-supermagic labelings of graphs
Ngurah A.A.G.a, Salman A.N.M.b, Susilowati L.c
a Department of Civil Engineering, Universitas Merdeka Malang, Indonesia
b Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
c Department of Mathematics, Faculty of Sciences and Technology, Universitas Airlangga, Indonesia
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]A simple graph G admits an H-covering if every edge in E (G) belongs to a subgraph of G isomorphic to H. The graph G is said to be H-magic if there exists a bijection f : V (G) ∪ E (G) → {1, 2, 3, …, | V (G) ∪ E (G) |} such that for every subgraph H′ of G isomorphic to H, ∑v ∈ V (H′) f (v) + ∑e ∈ E (H′) f (e) is constant. G is said to be H-supermagic if f (V (G)) = {1, 2, 3, …, | V (G) |}. In this paper, we study cycle-supermagic labelings of chain graphs, fans, triangle ladders, graphs obtained by joining a star K1, n with one isolated vertex, grids, and books. Also, we study Pt-(super)magic labelings of cycles. © 2010 Elsevier B.V. All rights reserved.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Bijections,Chain graph,Graph G,H-supermagic graph,Isolated vertices,Labelings,Magic labelings,Subgraphs[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]H-supermagic graph,H-supermagic labeling[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text]The first and the second authors were funded by “Hibah Kompetensi Dikti 2009” Research Grant No. 223/SP2H/PP/DP2M/ V/2009, from the Directorate General of Higher Education, Indonesia. The third author was supported by “Hibah PHK A2 Tahun ke-2 Dikti” from the Directorate General of Higher Education, Indonesia.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.1016/j.disc.2009.12.011[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]